Grade 11 · Math · Algebra 2

11th grade Transformation matrices worksheet

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Transformation matrices

Grade 11 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

Noah applies the reflection over the line y = x, [0, 1; 1, 0], to a kite sticker. Corner C is at (5, -9). Where is C′, written like (8, -1)?
Pia applies the reflection over the line y = -x, [0, -1; -1, 0], to a quilt block. Corner D is at (3, 6). Where is D′, written like (8, -1)?
Ren applies the dilation by scale factor 3 about the origin, [3, 0; 0, 3], to a star sticker. Corner F is at (2, -4). Where is F′, written like (8, -1)?
Tala applies the dilation by scale factor 2 about the origin, [2, 0; 0, 2], to a boat sticker. Corner G is at (-5, 3). Where is G′, written like (8, -1)?
5.
Zee wants to reflect a kite design over the y-axis. Which matrix does that?
- [-1, 0; 0, 1]
- [1, 0; 0, -1]
- [-1, 0; 0, -1]
6.
Esme wants to reflect a quilt block over the line y = x. Which matrix does that?
- [1, 0; 0, -1]
- [0, -1; -1, 0]
- [-1, 0; 0, -1]
- [0, 1; 1, 0]
7.
Jun wants to reflect a robot sticker over the line y = -x. Which matrix does that?
- [1, 0; 0, -1]
- [-1, 0; 0, -1]
- [0, -1; -1, 0]
- [0, 1; 1, 0]
Luz turns a robot sticker 90° counterclockwise about the origin with a matrix. Corner Q is at (-3, 5). Where is Q′, written like (8, -1)?
Milo turns a boat sticker 90° clockwise about the origin with a matrix. Corner S is at (-4, 1). Where is S′, written like (8, -1)?
Noah reflects a star sticker over the x-axis with a matrix. Corner U is at (5, 2). Where is U′, written like (8, -1)?

Transformation matrices. Every version has 10 questions, and the answer key prints on the second page.

I can find the matrix for a reflection, a quarter turn or a dilation from where (1, 0) and (0, 1) go.
I can move a point or a whole shape with T × V, and name a move from its matrix.
I can combine two moves into one matrix in the right order, and undo a move with the inverse.

Standard: N-VM.C.11 (+)

transformation matrix, T: A 2-by-2 table that moves every point of a shape.

vertex matrix, V: One column per corner: x on top, y below.

image: The shape after the move; corner C becomes C′.

T × V: The image's vertex matrix: a row of T against each column of V.

inverse matrix: The matrix that undoes a move.

quarter turn: A turn of 90° about the origin, clockwise or counterclockwise.

Used the reflection over the other line, so the wrong number changed sign.

Turned the shape the opposite way. Turn a sheet of paper a quarter turn together, and say clockwise or counterclockwise.

Swapped the two numbers of a point but forgot that one or both also change sign.

Ask: on a flip over the x-axis, which number stays the same?

Ask: which quadrant should the new point be in?

What is the most common mistake with transformation matrices?

Used the reflection over the other line, so the wrong number changed sign.

How can I help my child with transformation matrices?

Ask: on a flip over the x-axis, which number stays the same?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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